We designed and fabricated a travelingwave CPW(coplanar waveguide) electrode for LiNbO$_3$ optical modulator. To Investigate the variation of microwave refractive index of these electrodes, we prepared the CPW electrode samples as a function of electrode thickness and measured the TDR and S-parameter. From this results, we could know the electrode conditions of index matching to 2.20 for 1150 nm optical wave index for applying LiNbO$_3$ optical modulator. Also we discussed the some properties of CPW electrode for applying LiNbO$_3$ optical modulator.
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